Answer:
h = 0.362 m
Explanation:
The pressure equation with depth is
P₂ = +ρ g h
The gauge pressure is
P2 - = ρ g h
This is the pressure that muscles can create
P₂ - = 3740 Pa
But still the person needs a small pressure for the transfer of gases, so
P₂ - = 3740 - 188 = 3552 Pa
This is the maximum pressure difference, where the person can still breathe,
Let's clear the height
h = 3552 / ρ g
h = 3552 / (1000 9.8)
h = 0.362 m
This is the maximum depth where the person can still breathe normally.